In confirmation of this, we have retrieved the Gaia \(e\) DR3 parallaxes for
the brightest known M-TTau (selected from the compilation by
[1]}) and computed their M(V) magnitudes by
adopting the photometric calibration of the Gaia Consortium
[2]}. The absolute M(V) magnitudes of M-TTau turned
out to be all fainter than +6.5, confirming that in no way an M-TTau may
have slipped into our sample of M giants segregated on the base of Gaia
parallaxes (see also Section REF  below). As a
further check, we took the compilation of T Tau stars listed in SIMBAD and
VSX, and checked if any matched the M-giants of the initial 15k-sample, and
verified that none did.
